Academic Discipline

Mathematics

Linear algebra, real and complex analysis, topology, differential geometry, probability, combinatorics, and number theory.

18courses132standalone talks428total lectures

Subfields

All Mathematics428 Calculus & Analysis164 Linear Algebra107 Topology & Geometry59 Category Theory, Topos Theory & Set Foundations56 Probability & Information Theory39 Combinatorics & Graph Theory34 Control & Dynamical Systems31 Convex Optimization21 Formal Methods & Type Theory20 Number Theory & Abstract Algebra18 Statistical Learning & Causality7 Algorithmic Information & Coding Theory5 Cryptography4 Computational Complexity3

Linear Algebra— Vector spaces, Gaussian elimination, eigenvalues and spectral theory, SVD, and matrix factorizations.

12 topics

All Linear Algebra Gaussian Elimination & Matrix Systems28 Vector Spaces & Subspaces28 Eigenvalues & Spectral Theory20 Orthogonality & Least Squares15 Singular Value Decomposition (SVD)8 Double Integrals3 Matrix Operations3 Matrix Representation3 Change of Variables2 Inverse Matrix2 LU Decomposition2 Matrix Inverse2

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The Geometry of Linear Equations

18.06 · Linear Algebra · Lec 1·Gaussian Elimination & Matrix Systems · Gilbert Strang · MIT

Gilbert Strang

MIT

39:49

States, Logic & Complex Vector Spaces

Mathematics·Standalone Lecture·Quantum Mechanics · Leonard Susskind · Stanford University

Leonard Susskind

Stanford University

1:35:35

Hard Lefschetz Theorem and Hodge-Riemann Relations for Combinatorial Geometries

Mathematics·Research Seminar·Statistical Learning & Causality · June Huh · Institute for Advanced Study

June Huh

Institute for Advanced Study

58:19

The Column Space of A Contains All Vectors Ax

Matrix Methods in Data Analysis, Signal Processing, and Machine Learning · Lec 1·Vector Spaces & Subspaces · Gilbert Strang · MIT

Gilbert Strang

MIT

52:14

Eigenvectors and Eigenvalues: Geometric Intuition (Essence of Linear Algebra, Chapter 14)

Mathematics·Public Colloquium·Eigenvalues & Spectral Theory · Grant Sanderson · 3Blue1Brown

Grant Sanderson

3Blue1Brown

17:15

Liquid Vector Spaces and Condensed Mathematics

Mathematics·Research Seminar·Statistical Learning & Causality · Peter Scholze · Max Planck Institute for Mathematics

Peter Scholze

Max Planck Institute for Mathematics

57:37

Orthogonal Matrices and Gram-Schmidt

18.06 · Linear Algebra · Lec 16·Convex Optimization · Gilbert Strang · MIT

Gilbert Strang

MIT

49:10

Polar Coordinates & Vector Algebra

MATH 53 · Multivariable Calculus · Lec 4·Calculus & Analysis · Edward Frenkel · UC Berkeley

Edward Frenkel

UC Berkeley

1:16:59

Linear Systems and Matrix Algebra

Linear Algebra: Systems, Matrices & Transformations · Lec 4·Gaussian Elimination & Matrix Systems · Valerie Hower · Florida International University

Valerie Hower

Florida International University